249849824 has 72 divisors (see below), whose sum is σ = 579731040. Its totient is φ = 105670656.

The previous prime is 249849797. The next prime is 249849827. The reversal of 249849824 is 428948942.

249849824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249849827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122864 + ... + 124880.

It is an arithmetic number, because the mean of its divisors is an integer number (8051820).

Almost surely, 2^249849824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249849824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289865520).

249849824 is an abundant number, since it is smaller than the sum of its proper divisors (329881216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249849824 is a wasteful number, since it uses less digits than its factorization.

249849824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2105 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 249849824 is about 15806.6386053455. The cubic root of 249849824 is about 629.8343597457.

The spelling of 249849824 in words is "two hundred forty-nine million, eight hundred forty-nine thousand, eight hundred twenty-four".